Approximating parameters in nonlinear reaction diffusion equations

Robert R. Ferdinand
Abstract:
We present a model describing population dynamics in an
environment. The model is a nonlinear, nonlocal, reaction
diffusion equation with Neumann boundary conditions. An inverse
method, involving minimization of a least-squares cost functional,
is developed to identify unknown model parameters. Finally,
numerical results are presented which display estimates of these
parameters using computationally generated data.